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113795576896 = 2614922832
BaseRepresentation
bin110100111111010111…
…1101011010001000000
3101212201121110021001011
41221332233223101000
53331023131430041
6124135454050304
711135650305211
oct1517657532100
9355647407034
10113795576896
1144295700221
121a079aa9994
13a966975cb1
145717323408
152e6043ce81
hex1a7ebeb440

113795576896 has 63 divisors (see below), whose sum is σ = 228144949221. Its totient is φ = 56316221184.

The previous prime is 113795576893. The next prime is 113795576899. The reversal of 113795576896 is 698675597311.

The square root of 113795576896 is 337336.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (113795576893) and next prime (113795576899).

It can be written as a sum of positive squares in only one way, i.e., 13331935296 + 100463641600 = 115464^2 + 316960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113795576893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 402104371 + ... + 402104653.

Almost surely, 2113795576896 is an apocalyptic number.

113795576896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113795576896 is the 337336-th square number.

It is an amenable number.

113795576896 is an abundant number, since it is smaller than the sum of its proper divisors (114349372325).

113795576896 is an frugal number, since it uses more digits than its factorization.

113795576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 434 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 67.

The spelling of 113795576896 in words is "one hundred thirteen billion, seven hundred ninety-five million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 149 283 298 566 596 1132 1192 2264 2384 4528 4768 9056 9536 18112 22201 42167 44402 80089 84334 88804 160178 168668 177608 320356 337336 355216 640712 674672 710432 1281424 1349344 1420864 2562848 2698688 5125696 6282883 11933261 12565766 23866522 25131532 47733044 50263064 95466088 100526128 190932176 201052256 381864352 402104512 763728704 1778055889 3556111778 7112223556 14224447112 28448894224 56897788448 113795576896